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Numeracy Evening

Numeracy Evening. Welcome. What are we going to do this evening?. Pencil & paper procedures for the four operations, +,-,x & ÷ Consistent, progressive approach as we have a four rules policy KS1 - Mental calculation strategies KS2 - Informal written method → Standard written method

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Numeracy Evening

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  1. Numeracy Evening Welcome

  2. What are we going to do this evening? • Pencil & paper procedures for the four operations, +,-,x & ÷ • Consistent, progressive approach as we have a four rules policy • KS1 - Mental calculation strategies • KS2 - Informal written method → Standard written method • Model each method→Practise multiplication & division

  3. Addition- KS1 • Yr F – Relate addition to combining two groups of objects & extend to three groups by counting on. • “There are 2 cars in the garage, three more arrive, how many are there now? • Use fingers and count on using a numberline

  4. Addition- KS1 • Yr 1- Put the larger number first in order to count on, so 4+7 becomes 7+4. • Begin to partition & recombine so that, • 5+8= • 5+5+3 • =10+3 • =13

  5. Addition- KS1 Yr 2 – Add three numbers by looking for pairs that make 10 & do these first. Partition & recombine so, 9+8= (5+4) + (5+3) =5+5+4+3 = 10+7 = 17

  6. Addition- KS2 • Year 3 • Using a numberline, children count on in multiples of 100, 10 or 1 • So 86+57=86+50+7 • 86 136 140 143

  7. Addition- KS2 • Children in year 3 then start to record their calculations in preparation for an efficient standard method by adding the larger digits first • 67+24 • →(60+20) + (7+4) • = 80 +11 =91

  8. Next steps 67 + 24 80 11 91 After this, the standard compact method that we are familiar with is used.

  9. Subtraction KS1 • Year F • Find one more & one less than a given number • Begin to relate subtraction to ‘taking away’ and counting how many are left • “We ate 2 of our 6 jellies, how many are left?”

  10. Subtraction KS1 Year 1 Find a small difference by counting up 4_________________10

  11. Subtraction KS1 • Year 2 • Recognise that when finding a difference between 2 numbers that are close together that it is easier to find the difference by counting up not back • So 82-79 is best done by counting up from 79 to 82

  12. Subtraction KS2 Year 3 Again, use the numberline to count up to the nearest 10 and count on. • 45-16= • 16→20→30→40→45= 4+10+10+5=29 • Next step is decomposition

  13. Subtraction - decomposition • 84 • 53 • Becomes 80 + 4 -- 50+ 3 = 30 + 1 + 31 Place value & position of digits in columns is very important here

  14. What happens here? • 81-57 81 - 57

  15. Subtraction - decomposition 81 - 57 = 70 + 10 + 1 - 50 + 7 20 + 3 +1 = 24

  16. Now try these ! • 65- 14 = • 57- 29 =

  17. Standard Written method • This leads to a standard written method 467 - 231 6 30 200 236

  18. Which can be further compacted to 467 - 238 229 The ‘traditional borrowing’ is introduced here

  19. Multiplication- Informal written method • The Grid method (Starts in Year 3) • Examples • 23 x4 12 x 14 120 x 5 Now try these 14x 6, 23 x 12, 125 x 6

  20. Moving towards a standard written method 346 X 9 300 x 9 2700 40 x 9 360 6 x 9 54 3114 Note the importance of having the digits in the correct column This leads to →

  21. 346 X 9 3114

  22. Division • Chunking – repeated subtraction (From year 4) • 25÷ 5 • 96 ÷6 • Note- It is useful to write down known facts • 1x6 =6, 5x6=30, 10x6=6 • Now try these, 72 ÷ 6, 96 ÷8

  23. Thank you for attending • Please remember that if you have a query with any aspect of your child’s schoolwork, to contact the office who will obtain an appointment with the class teacher at the earliest mutually convenient opportunity. • Useful website • www.topmarks.co.uk

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